Finite Group Databasebeta

← Group #348103

Character table — Group #348103

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size111122222222222244444444444444444444444444444444444444444444444444444444416161616323232323232
order12222222224488882222224444444444444444444448888888888888888888888888888884444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111-1-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-111-1-1-1-111-1-1111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ61111111111111111-1-111-1-1-1-111-1-1111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ71111111111111111-1-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ9111111111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ10111111111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ11111111111111-1-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-11-11
χ12111111111111-1-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-111-111-11-1
χ13111111111111-1-1-1-1-1-111-1-1-1-111-1-1111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-11
χ14111111111111-1-1-1-1-1-111-1-1-1-111-1-1111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-111-1
χ15111111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-11-111-1
χ16111111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-11-1-11
χ172222222222-2-20000222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ182222222222-2-2000022-2-2-2-222-2-2-2-2-2-2-2-2-22222-2-222220000000000000000000000000000000000000000
χ192222222222-2-20000-2-222-2-2-2-222-2-2-2-2-222-2-22222-2-2220000000000000000000000000000000000000000
χ202222222222-2-20000-2-2-2-222-2-2-2-222-2-2-22222-2-22222-2-20000000000000000000000000000000000000000
χ2122222-2-22-2-22222220000220000-2-22-2-20000220000-2-200000000-2-2-2-222-2-2-2-20000000022220000000000
χ2222222-2-22-2-22222220000-2-20000222-2-20000-2-200002200000000222222-2-2-2-200000000-2-2-2-20000000000
χ2322222-2-22-2-222-2-2-2-20000220000-2-22-2-20000220000-2-2000000002222-2-2222200000000-2-2-2-20000000000
χ2422222-2-22-2-222-2-2-2-20000-2-20000222-2-20000-2-200002200000000-2-2-2-2-2-222220000000022220000000000
χ2522222-2-22-2-2-2-200000000220000-2-2-2220000-2-20000222i2i−2i−2i2i2i−2i−2i00000000002i2i−2i−2i2i2i−2i−2i00000000000000
χ2622222-2-22-2-2-2-200000000220000-2-2-2220000-2-2000022−2i−2i2i2i−2i−2i2i2i0000000000−2i−2i2i2i−2i−2i2i2i00000000000000
χ2722222-2-22-2-2-2-200000000-2-2000022-2220000220000-2-22i2i−2i−2i−2i−2i2i2i00000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ2822222-2-22-2-2-2-200000000-2-2000022-2220000220000-2-2−2i−2i2i2i2i2i−2i−2i0000000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ292222-22-2-22-222222200220000-2-200-22-200220000-2-2000000-2-2-2-20000-2-222-2-20000222200000000000000
χ302222-22-2-22-222222200-2-200002200-22-200-2-200002200000022220000-2-222-2-20000-2-2-2-200000000000000
χ312222-22-2-22-222-2-2-2-200220000-2-200-22-200220000-2-20000002222000022-2-2220000-2-2-2-200000000000000
χ322222-22-2-22-222-2-2-2-200-2-200002200-22-200-2-2000022000000-2-2-2-2000022-2-2220000222200000000000000
χ332222-22-2-22-2-2-2000000220000-2-2002-2200-2-2000022002i2i−2i−2i00002i2i−2i−2i000000−2i−2i2i2i00002i2i−2i−2i0000000000
χ342222-22-2-22-2-2-2000000220000-2-2002-2200-2-200002200−2i−2i2i2i0000−2i−2i2i2i0000002i2i−2i−2i0000−2i−2i2i2i0000000000
χ352222-22-2-22-2-2-2000000-2-2000022002-2200220000-2-2002i2i−2i−2i0000−2i−2i2i2i000000−2i−2i2i2i0000−2i−2i2i2i0000000000
χ362222-22-2-22-2-2-2000000-2-2000022002-2200220000-2-200−2i−2i2i2i00002i2i−2i−2i0000002i2i−2i−2i00002i2i−2i−2i0000000000
χ372222-2-22-2-22222222220000-2-20000-2-22220000-2-20000-2-2-2-200000000-2-2-2-2222222000000000000000000
χ382222-2-22-2-22222222-2-20000220000-2-22-2-20000220000222200000000-2-2-2-222-2-2-2-2000000000000000000
χ392222-2-22-2-2222-2-2-2-2220000-2-20000-2-22220000-2-200002222000000002222-2-2-2-2-2-2000000000000000000
χ402222-2-22-2-2222-2-2-2-2-2-20000220000-2-22-2-20000220000-2-2-2-2000000002222-2-22222000000000000000000
χ412222-2-22-2-22-2-20000220000-2-2000022-2-2-2000022000000002i2i−2i−2i−2i−2i2i2i0000000000−2i−2i2i2i2i2i−2i−2i0000000000
χ422222-2-22-2-22-2-20000220000-2-2000022-2-2-200002200000000−2i−2i2i2i2i2i−2i−2i00000000002i2i−2i−2i−2i−2i2i2i0000000000
χ432222-2-22-2-22-2-20000-2-2000022000022-2220000-2-2000000002i2i−2i−2i2i2i−2i−2i0000000000−2i−2i2i2i−2i−2i2i2i0000000000
χ442222-2-22-2-22-2-20000-2-2000022000022-2220000-2-200000000−2i−2i2i2i−2i−2i2i2i00000000002i2i−2i−2i2i2i−2i−2i0000000000
χ4522-2-2222-2-2-20022−2−22-22-22-22-22-22-20000000000000002−22−22−22−22−22−22−22−22−22−22−22−22−22−22−20000000000
χ4622-2-2222-2-2-20022−2−22-2-22-222-2-22-220000000000000002−22−2−22−22−22−222−22−22−22−22−2−22−22−22−220000000000
χ4722-2-2222-2-2-20022−2−2-222-2-22-222-2-22000000000000000−22−222−22−2−22−222−22−22−2−22−222−22−2−22−220000000000
χ4822-2-2222-2-2-20022−2−2-22-222-2-22-222-2000000000000000−22−22−22−222−22−22−22−22−2−22−22−22−222−22−20000000000
χ4922-2-2222-2-2-200−2−2222-22-22-22-22-22-2000000000000000−22−22−22−22−22−22−22−22−22−22−22−22−22−22−220000000000
χ5022-2-2222-2-2-200−2−2222-2-22-222-2-22-22000000000000000−22−222−22−22−22−2−22−22−22−22−222−22−22−22−20000000000
χ5122-2-2222-2-2-200−2−222-222-2-22-222-2-220000000000000002−22−2−22−222−22−2−22−22−222−22−2−22−222−22−20000000000
χ5222-2-2222-2-2-200−2−222-22-222-2-22-222-20000000000000002−22−22−22−2−22−22−22−22−222−22−22−22−2−22−220000000000
χ5322-2-22-2-2-2220022−2−200002-20000-220002i−2i2i−2i002i−2i2i−2i00i2−i2−i2i2i2−i2−i2i2−22−222−2−22−22i2−i2−i2i2i2−i2−i2i22−22−20000000000
χ5422-2-22-2-2-2220022−2−200002-20000-22000−2i2i−2i2i00−2i2i−2i2i00−i2i2i2−i2−i2i2i2−i2−22−222−2−22−22−i2i2i2−i2−i2i2i2−i22−22−20000000000
χ5522-2-22-2-2-2220022−2−20000-2200002-20002i−2i−2i2i002i−2i−2i2i00i2−i2−i2i2−i2i2i2−i22−22−22−2−22−22i2−i2−i2i2−i2i2i2−i2−22−220000000000
χ5622-2-22-2-2-2220022−2−20000-2200002-2000−2i2i2i−2i00−2i2i2i−2i00−i2i2i2−i2i2−i2−i2i22−22−22−2−22−22−i2i2i2−i2i2−i2−i2i2−22−220000000000
χ5722-2-22-2-2-22200−2−22200002-20000-220002i−2i2i−2i002i−2i2i−2i00−i2i2i2−i2−i2i2i2−i22−22−2−222−22−2−i2i2i2−i2−i2i2i2−i2−22−220000000000
χ5822-2-22-2-2-22200−2−22200002-20000-22000−2i2i−2i2i00−2i2i−2i2i00i2−i2−i2i2i2−i2−i2i22−22−2−222−22−2i2−i2−i2i2i2−i2−i2i2−22−220000000000
χ5922-2-22-2-2-22200−2−2220000-2200002-20002i−2i−2i2i002i−2i−2i2i00−i2i2i2−i2i2−i2−i2i2−22−22−222−22−2−i2i2i2−i2i2−i2−i2i22−22−20000000000
χ6022-2-22-2-2-22200−2−2220000-2200002-2000−2i2i2i−2i00−2i2i2i−2i00i2−i2−i2i2−i2i2i2−i2−22−22−222−22−2i2−i2−i2i2−i2i2i2−i22−22−20000000000
χ6122-2-2-22-22-220022−2−2002-20000-22000002i−2i002i−2i−2i2i002i−2i−i2i2i2−i2−22−22−i2i2i2−i2−222−2−22i2−i2−i2i22−22−2−i2i2i2−i20000000000
χ6222-2-2-22-22-220022−2−2002-20000-2200000−2i2i00−2i2i2i−2i00−2i2ii2−i2−i2i2−22−22i2−i2−i2i2−222−2−22−i2i2i2−i22−22−2i2−i2−i2i20000000000
χ6322-2-2-22-22-220022−2−200-2200002-2000002i−2i00−2i2i−2i2i00−2i2i−i2i2i2−i22−22−2i2−i2−i2i2−222−2−22i2−i2−i2i2−22−22i2−i2−i2i20000000000
χ6422-2-2-22-22-220022−2−200-2200002-200000−2i2i002i−2i2i−2i002i−2ii2−i2−i2i22−22−2−i2i2i2−i2−222−2−22−i2i2i2−i2−22−22−i2i2i2−i20000000000
χ6522-2-2-22-22-2200−2−222002-20000-22000002i−2i002i−2i−2i2i002i−2ii2−i2−i2i22−22−2i2−i2−i2i22−2−222−2−i2i2i2−i2−22−22i2−i2−i2i20000000000
χ6622-2-2-22-22-2200−2−222002-20000-2200000−2i2i00−2i2i2i−2i00−2i2i−i2i2i2−i22−22−2−i2i2i2−i22−2−222−2i2−i2−i2i2−22−22−i2i2i2−i20000000000
χ6722-2-2-22-22-2200−2−22200-2200002-2000002i−2i00−2i2i−2i2i00−2i2ii2−i2−i2i2−22−22−i2i2i2−i22−2−222−2−i2i2i2−i22−22−2−i2i2i2−i20000000000
χ6822-2-2-22-22-2200−2−22200-2200002-200000−2i2i002i−2i2i−2i002i−2i−i2i2i2−i2−22−22i2−i2−i2i22−2−222−2i2−i2−i2i22−22−2i2−i2−i2i20000000000
χ6922-2-2-2-2222-20022−2−22-20000-220000000002i−2i2i−2i00−2i2i−2i2i−22−22−i2i2i2−i2i2−i2−i2i2−22−222−22−22−2i2−i2−i2i2−i2i2i2−i20000000000
χ7022-2-2-2-2222-20022−2−22-20000-22000000000−2i2i−2i2i002i−2i2i−2i−22−22i2−i2−i2i2−i2i2i2−i2−22−222−22−22−2−i2i2i2−i2i2−i2−i2i20000000000
χ7122-2-2-2-2222-20022−2−2-2200002-20000000002i−2i−2i2i00−2i2i2i−2i2−22−2−i2i2i2−i2−i2i2i2−i2−22−222−2−22−22i2−i2−i2i2i2−i2−i2i20000000000
χ7222-2-2-2-2222-20022−2−2-2200002-2000000000−2i2i2i−2i002i−2i−2i2i2−22−2i2−i2−i2i2i2−i2−i2i2−22−222−2−22−22−i2i2i2−i2−i2i2i2−i20000000000
χ7322-2-2-2-2222-200−2−2222-20000-220000000002i−2i2i−2i00−2i2i−2i2i2−22−2i2−i2−i2i2−i2i2i2−i22−22−2−22−22−22−i2i2i2−i2i2−i2−i2i20000000000
χ7422-2-2-2-2222-200−2−2222-20000-22000000000−2i2i−2i2i002i−2i2i−2i2−22−2−i2i2i2−i2i2−i2−i2i22−22−2−22−22−22i2−i2−i2i2−i2i2i2−i20000000000
χ7522-2-2-2-2222-200−2−222-2200002-20000000002i−2i−2i2i00−2i2i2i−2i−22−22i2−i2−i2i2i2−i2−i2i22−22−2−222−22−2−i2i2i2−i2−i2i2i2−i20000000000
χ7622-2-2-2-2222-200−2−222-2200002-2000000000−2i2i2i−2i002i−2i−2i2i−22−22−i2i2i2−i2−i2i2i2−i22−22−2−222−22−2i2−i2−i2i2i2−i2−i2i20000000000
χ774-44-4000000-444-44-40000000000000000000000000000000000000000000000000000000002i−2i2i−2i000000
χ784-44-4000000-444-44-4000000000000000000000000000000000000000000000000000000000−2i2i−2i2i000000
χ794-44-4000000-44-44-440000000000000000000000000000000000000000000000000000000002i−2i−2i2i000000
χ804-44-4000000-44-44-44000000000000000000000000000000000000000000000000000000000−2i2i2i−2i000000
χ818-88-80000008-800000000000000000000000000000000000000000000000000000000000000000000000
χ828-8-880000000042−42−42420000000000000000000000000000000000000000000000000000000000000000000
χ838-8-8800000000−424242−420000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).